Pith Number

pith:AKVVYFCL

pith:2013:AKVVYFCLNSJ6LDYF7F4VY7WGZJ

not attested not anchored not stored refs pending

Bifurcation diagram and stability for a one-parameter family of planar vector fields

Armengol Gasull, Hector Giacomini, Johanna D. Garc\'ia-Salda\~na

arxiv:1304.2163 v1 · 2013-04-08 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKVVYFCLNSJ6LDYF7F4VY7WGZJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:28:43.808321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ab5c144b6c93e58f05f9795c7ec6ca640f1ada74a3b2e8365d18aa089bbc4c

Aliases

arxiv: 1304.2163 · arxiv_version: 1304.2163v1 · doi: 10.48550/arxiv.1304.2163 · pith_short_12: AKVVYFCLNSJ6 · pith_short_16: AKVVYFCLNSJ6LDYF · pith_short_8: AKVVYFCL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AKVVYFCLNSJ6LDYF7F4VY7WGZJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 02ab5c144b6c93e58f05f9795c7ec6ca640f1ada74a3b2e8365d18aa089bbc4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0edbaeaca3aa0a87d2c6e00407f57ff35631131f7bcbb646e255430405d8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-08T11:01:39Z",
    "title_canon_sha256": "5030b71d328bc7f8008847e31fbce6b15698e1f9df0bd21cc981a8fe7f0f02ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2163",
    "kind": "arxiv",
    "version": 1
  }
}